Umm as far as if your minions getting lightning damage i think not. You would still do damage when the auar flashes but your minion's attacks would not recieve the lightning/fire damage. Just think about it do you recieve cold damage from a holy freeze merc?
I don't usually use HF mercs with melee but its a good point and I'll assume by the tone of your post the answer is no. I suspect it probably wouldnt work then...too bad.